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Finding the Fourth Proportional to 1,569.94, 2,166.63 and 871.31

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Solution

The fourth proportional to 1,569.94, 2,166.63 and 871.31 is: 1,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.94 : 2,166.63 = 871.31 : x
  2. Step 2: Convert to fraction form
    1,569.94/2,166.63 = 871.31/x
  3. Step 3: Cross multiply
    1,569.94x = 2,166.63 × 871.31
  4. Step 4: Simplify right side
    1,569.94x = 1,887,806.39
  5. Step 5: Solve for x
    x = 1,887,806.39/1,569.94
  6. Step 6: Final answer
    x = 1,202.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.